Question

If twice the difference of a number and 3 is added to 4, the result is 22 more than four times the number. Find the number.

Answer 1

Answer:

Let the number be x. Given, twice the difference of x and 3 added to 4 gives 22 more than 4x. The following equation is formed-: 4 + 2(x - 3) = 4x + 22.

Let's solve it step by step-

• Simplifying the brackets,

4 + 2x - 6 = 4x + 22

• Subtracting 6 from 4 on the LHS,

4 - 6 + 2x = 2x + 22

(-2) + 2x = 4x + 22

• Simplifying the equation,

(-2) - 22 = 4x - 2x

• Solving the LHS and RHS,

(-24) = 2x

• Transposing 2 to the RHS

x = (-24)/2

x = -12

Therefore, the number is -12.